1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
sergiy2304 [10]
3 years ago
6

From a point 80 feet in front of a library, the angles of elevation to the base of a flagpole, and to the top of the flag are 22

° and 43.5°, respectively. Find the height of the flagpole to the nearest foot.

Mathematics
2 answers:
ddd [48]3 years ago
6 0

check the picture below.


\bf tan(22^o)=\cfrac{x}{80}\implies \boxed{80tan(22^o)=x}
\\\\[-0.35em]
~\dotfill\\\\
tan(43.5^o)=\cfrac{y+x}{80}\implies 80tan(43.5^o)=y+x\implies 80tan(43.5^o)-x=y
\\\\\\
80tan(43.5^o)-80tan(22^o)=y\implies 43.59506727037783689501 \approx y
\\\\[-0.35em]
\rule{34em}{0.25pt}\\\\
~\hfill \stackrel{rounded~up}{44=y}~\hfill


make sure your calculator is in Degree mode.

In-s [12.5K]3 years ago
4 0

Let distance from point of elevation be x

x/80 = tan 22 , x = 80 * tan 22 = 32.32209807 feet

Let distance from bottom of the library to the top of the flag be y

y/80 = tan 43.5 , y = 80 * tan 43.5 = 75.91716534 feet

Height of the flag pole  is y - x = 75.91716534 feet - 32.32209807 feet = 44 feet (to the nearest foot).



You might be interested in
3x+5=5x-3
madam [21]

answer= d Step-by-step explanation:

6 0
2 years ago
The amount of time t (in hours) it takes to complete a certain job varies inversely with the number of workers, w. The constant
Vlad [161]

Answer: should be A: 1.75 hours

Step-by-step explanation: divide 28/16 to give you 7/4, then you should turn this into a decimal which gives you 1.75

5 0
3 years ago
Calculate the allele frequencies in this population of palm trees. A model consisting of a box containing fourteen, randomly arr
bogdanovich [222]

Answer:

The correct answer is

0.5 F, 0.5 f

Step-by-step explanation:

We note the following

Number of colored circles in the box = 14

Number of red circles in the box = 4

Number of purple circles in the box = 6

Number of blue circles in the box = 4

The allele frequency are as follows

Where the frequency is given as

Genotype            Frequency                         Relative frequency        

FF = Red                    4                                       4/14 (0.29≈0.3)                  

Ff = Purple                 6                                       6/14 (0.43≈0.4)

ff = Blue                     4                                       4/14(0.29≈0.3)

Within this population,

We however  have 4 FF = 8 F

                                6 Ff =   6 F + 6 f  and

                                4 ff = 8 f

Total allele = 8+6+6+8 = 28

Relative frequency of F = (8+6)/28 = 14/28 = 0.5

relative frequency of f = (8+6)/28 = 0.5

Therefore the allele frequencies in the palm tree population is

0.5 F, 0.5 f

When in equilibrium we have

However the FF has the product of F×F which is = F² = 0.29 so the frequency of F = √(0.29) = 0.535≈ 0.5

The frequency of Ff is Ff or fF =  0.43 since there is equal number of each allele in Ff we have fF or Ff = Ff = 0.43

Which hives 0.43/2 = F =f ≈ 0.2

To  

and ff = 0.29 so that f = 0.535 ≈ 0.5

Therefore f = F  = 0.5 + 0.2 = 0.7

5 0
3 years ago
Tony's class needs more than $500 for the school dance.
Natali [406]

Answer:

yes hes correct.

Step-by-step explanation:

37x8=296. 296+200= 596. 596>500

6 0
3 years ago
Read 2 more answers
Please what’s the answer?… I really need help
AfilCa [17]

\sqrt[3]{x + 1}  = 2

Let us cube both sides.

=  >  (\sqrt[3]{x + 1} ) ^{3}  =  {2}^{3}

Now, it will be only x + 1.

=  > x + 1 = 8

Transpose 1 to the Right Hand Side.

=  > x = 8 - 1

Now, subtract.

=  > x = 7

<u>Answer</u><u>:</u>

x = 7

Hope you could understand.

If you have any query, feel free to ask.

3 0
2 years ago
Other questions:
  • Gordon types 43 3/4 pages in 3 1/2 hours. What is his rate in pages per hour
    10·1 answer
  • 1/3(5x-15+4x)=1+3×+4
    9·2 answers
  • Write an equation of the line perpendicular to x-2y=4 and contains the points (4,-5)
    7·1 answer
  • 6+4/5b=9/10b solve for b
    11·2 answers
  • The sum of two fractions is 31/4 if one of them is 17/6 find the other
    9·1 answer
  • Can someone help me out
    9·1 answer
  • Solve log x = 3. Please help me here, thank you have a great day/night
    9·1 answer
  • Please help.. I don’t understand..
    6·2 answers
  • Please help no links
    5·2 answers
  • There are two conditions under which we can assume that the sample means follow a normal distribution. What are they
    8·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!